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Use the form y = mx + b for linear equations. Write the equation for the following relation. A = {(x, y ): (1, 2), (2, 5), (3, 8), . . .}
Choose two of the points and calculate the slope first. Can you do that?
yes
Great. Since the data is linear, we can choose any two, the slope will be the same between all of them. That will give us "m". Once you get that, we can work on the y-intercept (b).
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m = (5-2) / (2-1) = 3 Yes
so we have y = 3x + b
To find the value of b substitute one of the ordered pairs in the equation and solve for b. We can use the point (1,2) Plug in x = 1 and y = 2 into y = 3x + b and find b.
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